Parity considerations in the number of parts
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908792558452736 |
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| author | He, Thomas Y. Huang, H. X. Xie, Y. X. Zou, T. T. |
| author_facet | He, Thomas Y. Huang, H. X. Xie, Y. X. Zou, T. T. |
| contents | Recently, Chen, He, Hu and Xie considered the parity of the number of non-overlined (resp. overlined) parts of size greater than or equal to the size of the smallest overlined (resp. non-overlined) part in an overpartition. In this article, we investigate the parity of the number of non-overlined (resp. overlined) parts of size less than or equal to the size of the largest overlined (resp. non-overlined) part in an overpartition. We also study the parity of the number of even parts greater than the smallest odd part in a partition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20031 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Parity considerations in the number of parts He, Thomas Y. Huang, H. X. Xie, Y. X. Zou, T. T. Combinatorics Recently, Chen, He, Hu and Xie considered the parity of the number of non-overlined (resp. overlined) parts of size greater than or equal to the size of the smallest overlined (resp. non-overlined) part in an overpartition. In this article, we investigate the parity of the number of non-overlined (resp. overlined) parts of size less than or equal to the size of the largest overlined (resp. non-overlined) part in an overpartition. We also study the parity of the number of even parts greater than the smallest odd part in a partition. |
| title | Parity considerations in the number of parts |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2412.20031 |